# Ex 9.4, 1 - Chapter 9 Class 12 Differential Equations

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 9.4, 1 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦𝑑𝑥= 1 − cos𝑥1+ cos𝑥 𝑑𝑦𝑑𝑥 = 1 − cos𝑥1 + cos𝑥 dy = 1 − cos𝑥1 + cos𝑥 dx. Putting values in equation dy = 2 sin2 𝑥2 2 cos2 𝑥2 dx dy = sin2 𝑥2 cos2 𝑥2 dx dy = tan2 𝑥2 dx Putting tan2 𝑥2 = sec2 𝑥2 − 1 dy = sec2 𝑥2 − 1𝑑𝑥 Integrating both sides 𝑑𝑦 = 𝑠𝑒𝑐2 𝑥2−1dx y = 𝑠𝑒𝑐2 𝑥2𝑑𝑥− 𝑑𝑥 y = 1 12 tan 𝑥2 − x + C y = 2 tan 𝑥2 − x + c y = 2 tan 𝑥2 − x + C y = 𝟐 tan 𝒙𝟐 − x + C is the general solution

Chapter 9 Class 12 Differential Equations

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.